Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Question
For the the composite cross-section shown in the figure, compute the following cross-seciton properties
around the centroidal horizontal axis x and around the centroidal vertical axis y shown in the figure:
(a) Center of gravity. Position measured in the horizontal direction X.
(b) Center of gravity. Position measured in the vertical direction Y.
(c) Global centroidal moment of inertia IXg around the global centroidal horizontal X axis
of the composite cross section.
(d) Global centroidal moment of inertia IYg around the global centroidal vertical Y axis of
the composite cross section.
(e) Global centroidal radius of gyration, rX, around the global centroidal horizontal X axis
of the composite cross section.
(f) Global centroidal radius of gyration, rY, around the global centroidal vertical Y axis of
the composite cross section.
(g) Global centroidal elastic section modulus, SX, around the global centroidal horizontal X
axis of the composite cross section.
(h) Global centroidal elastic section modulus, SY, around the global centroidal vertical Y
axis of the composite cross section.
Center of Gravity
around the centroidal horizontal axis x and around the centroidal vertical axis y shown in the figure:
(a) Center of gravity. Position measured in the horizontal direction X.
(b) Center of gravity. Position measured in the vertical direction Y.
(c) Global centroidal moment of inertia IXg around the global centroidal horizontal X axis
of the composite cross section.
(d) Global centroidal moment of inertia IYg around the global centroidal vertical Y axis of
the composite cross section.
(e) Global centroidal radius of gyration, rX, around the global centroidal horizontal X axis
of the composite cross section.
(f) Global centroidal radius of gyration, rY, around the global centroidal vertical Y axis of
the composite cross section.
(g) Global centroidal elastic section modulus, SX, around the global centroidal horizontal X
axis of the composite cross section.
(h) Global centroidal elastic section modulus, SY, around the global centroidal vertical Y
axis of the composite cross section.
Center of Gravity
Transcribed Image Text:400 mm
50 mm
-200 mm
Y
- X
150 mm
Center of Gravity
50 mm
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Step 1: Given
VIEW Step 2: a) Calculate center of gravity measured in the horizontal x direction
VIEW Step 3: b) Calculate center of gravity measured in the vertical y direction
VIEW Step 4: c) Calculate centroidal moment of inertia Ixg around the global centroidal horizontal X axis
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